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Finding the Fourth Proportional to 362.19, 499.84 and 214.84

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Solution

The fourth proportional to 362.19, 499.84 and 214.84 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.19 : 499.84 = 214.84 : x
  2. Step 2: Convert to fraction form
    362.19/499.84 = 214.84/x
  3. Step 3: Cross multiply
    362.19x = 499.84 × 214.84
  4. Step 4: Simplify right side
    362.19x = 107,382.90
  5. Step 5: Solve for x
    x = 107,382.90/362.19
  6. Step 6: Final answer
    x = 296.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.